Understanding Linear vs Exponential Functions

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

• 1.08(12,000)^t = $36,000
• 12,000(1.08)^t = $38, 066
• 12,000(0.5)^t = $10,000
• 12,000(0.92)^t = $40,000

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

• 1.08(12,000)^t = $36,000
• 12,000(1.08)^t = $38, 066
• 12,000(0.5)^t = $10,000
• 12,000(0.92)^t = $40,000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)^x

• growth
• decay

Tags

CCSS.HSF.LE.B.5

Identify each function as representing exponential growth or decay.
f(x) = 5(1.06)^x

• growth
• decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Classify the given graph.

• exponential growth
• exponential decay
• positive linear
• negative linear

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Given the function, f(x) = 6.5(0.85)^x, identify the initial value.

• 6.5
• 0.85
• x
• f(x)

Tags

CCSS.HSF.LE.B.5

Given the function, f(x) = 6.5(0.85)^x, identify the growth/decay rate.

• 6.5
• 0.85
• x
• f(x)

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Is the graph linear, exponential or neither?

• Linear
• Exponential 
• Neither

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Is the equation linear, exponential or neither?

• Linear
• Exponential
• Neither

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3